Atkin-Lehner |
2- 3- 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
76752bo |
Isogeny class |
Conductor |
76752 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
687540731904 = 216 · 39 · 13 · 41 |
Discriminant |
Eigenvalues |
2- 3- 1 2 3 13+ 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4827,122762] |
[a1,a2,a3,a4,a6] |
Generators |
[31:54:1] |
Generators of the group modulo torsion |
j |
4165509529/230256 |
j-invariant |
L |
8.0251359786305 |
L(r)(E,1)/r! |
Ω |
0.89282463573089 |
Real period |
R |
1.1235599435226 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000313 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9594p1 25584p1 |
Quadratic twists by: -4 -3 |